Answer:
Step-by-step explanation:
We are given the function f(x) = -3/4(x) +6.
We know that the slope intercept form of a line is y = mx + b
Here, the slope m = -3/4.
The y-coordinate of the y intercept is b = 6 so the y-intercept is at the point (0,6) [x is always 0 at the y-intercept]
If you have to points you can graph the line, we only have the point (0,6).
To find the second point we use the slope.
We add the bottom point of the slope to the x coordinate of the y-intercept and we add the top part of the slope to the y coordinate of the y-intercept, so our second point is (0 + 4, 6 +(-3)) = (4, 3).
You then plot the points we have: (0,6) and (4,3) and draw the line through them.
Answer:
x = 1
Step-by-step explanation:
We need to solve for x by isolating the variable.
First, expand the parentheses:
2(x + 1) = 4
2 * x + 2 * 1 = 4
2x + 2 = 4
Then subtract by 2:
2x + 2 - 2 = 4 - 2
2x = 2
Finally, divide by 2:
2x/2 = 2/2
x = 1
Thus, x = 1.
Hope this helps!
Answer:
1. Use a compass to make arc marks which intersect above and below then connect.
2. 
Step-by-step explanation:
1. To construct a perpendicular line, use a compass to draw arc marks from one end of the segment through point P. Then repeat this again at the other end. This means at point P there will be two intersecting arc marks. Repeat the process down below with the same radius as used above. Then connect the two intersections.
2. The point slope form of a line is
where
. We write
Since the line is to be perpendicular to the line shown it will have the negative reciprocal to the slope of the function 3x+y =-8. To find m, rearrange the function to be y=-8-3x. The slope is -3 and the negative reciprocal will be 1/3.
Simplify for slope intercept form.

Answer:

And using the probability mass function we got:
Step-by-step explanation:
Let X the random variable of interest, on this case we now that:
The probability mass function for the Binomial distribution is given as:
Where (nCx) means combinatory and it's given by this formula:
And we want to find the following probability:

And using the probability mass function we got:
A transportation problem you take with you